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Analysis and Design of Univariate Subdivision Schemes

53,49 €*

Sofort verfügbar, Lieferzeit: 1-3 Tage

Produktnummer: 18b1d82fc4bcc44f40a58ac3b62435bb00
Autor: Sabin, Malcolm
Themengebiete: CAD CAE computer-aided design (CAD) computer graphics rendering splines subdivision schemes
Veröffentlichungsdatum: 25.08.2010
EAN: 9783642136474
Sprache: Englisch
Seitenzahl: 218
Produktart: Gebunden
Verlag: Springer Berlin
Produktinformationen "Analysis and Design of Univariate Subdivision Schemes"
‘Subdivision’ is a way of representing smooth shapes in a computer. A curve or surface (both of which contain an in?nite number of points) is described in terms of two objects. One object is a sequence of vertices, which we visualise as a polygon, for curves, or a network of vertices, which we visualise by drawing the edges or faces of the network, for surfaces. The other object is a set of rules for making denser sequences or networks. When applied repeatedly, the denser and denser sequences are claimed to converge to a limit, which is the curve or surface that we want to represent. This book focusses on curves, because the theory for that is complete enough that a book claiming that our understanding is complete is exactly what is needed to stimulate research proving that claim wrong. Also because there are already a number of good books on subdivision surfaces. The way in which the limit curve relates to the polygon, and a lot of interesting properties of the limit curve, depend on the set of rules, and this book is about how one can deduce those properties from the set of rules, and how one can then use that understanding to construct rules which give the properties that one wants.

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